Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
440 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 74 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11719169 | C2 | semidirect |
| 3. #11718305 | C2 | semidirect |
| 13. C22⋊#1057 | C22 | semidirect |
| 51. C23×C13 | M16 | semidirect |
| 125. C13 | #1462 | semidirect |
| 140. C23 | #6122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C22⋊Dic13 | 2 |
| #11719169 | 2 |
| #11718305 | 2 |
| #1462 | 13 |